Meshing, Geometric Modeling and Numerical Simulation
Author: Houman Borouchaki
Publisher:
Published: 2017
Total Pages:
ISBN-13: 9781119384335
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Meshing, Geometric Modeling and Numerical Simulation 3
Author: Paul Louis George
Publisher: John Wiley & Sons
Published: 2020-11-04
Total Pages: 352
ISBN-13: 1119788064
DOWNLOAD EBOOK →Triangulations, and more precisely meshes, are at the heart of many problems relating to a wide variety of scientific disciplines, and in particular numerical simulations of all kinds of physical phenomena. In Volume 1, the theoretical foundations relating to triangulations, finite element shape functions and their interpretations as geometric patches were explored. This has made it possible to build tools that make the geometric modeling of any object possible. These elements are used in Volume 2 to treat meshing problems in their different implementations. Meshing, Geometric Modeling and Numerical Simulation 3 offers technical additions to the methods seen in the first two volumes and a significant portion of this book is dedicated to mesh visualization problems and solutions, especially those with a high degree of complexity.
Meshing, Geometric Modeling and Numerical Simulation, Volume 2
Author: Paul Louis George
Publisher: John Wiley & Sons
Published: 2019-05-29
Total Pages: 420
ISBN-13: 1786301172
DOWNLOAD EBOOK →Triangulations, and more precisely meshes, are at the heart of many problems relating to a wide variety of scientific disciplines, and in particular numerical simulations of all kinds of physical phenomena. In numerical simulations, the functional spaces of approximation used to search for solutions are defined from meshes, and in this sense these meshes play a fundamental role. This strong link between meshes and functional spaces leads us to consider advanced simulation methods in which the meshes are adapted to the behaviors of the underlying physical phenomena. This book presents the basic elements of this vision of meshing. These mesh adaptations are generally governed by a posteriori error estimators representing an increase of the error with respect to a size or metric. Independently of this metric of calculation, compliance with a geometry can also be calculated using a so-called geometric metric. The notion of mesh thus finds its meaning in the metric of its elements.
Meshing, Geometric Modeling and Numerical Simulation 1
Author: Houman Borouchaki
Publisher: John Wiley & Sons
Published: 2017-11-29
Total Pages: 389
ISBN-13: 1786300389
DOWNLOAD EBOOK →Triangulations, and more precisely meshes, are at the heart of many problems relating to a wide variety of scientific disciplines, and in particular numerical simulations of all kinds of physical phenomena. In numerical simulations, the functional spaces of approximation used to search for solutions are defined from meshes, and in this sense these meshes play a fundamental role. This strong link between the meshes and functional spaces leads us to consider advanced simulation methods in which the meshes are adapted to the behaviors of the underlying physical phenomena. This book presents the basic elements of this meshing vision.
Meshing, Geometric Modeling and Numerical Simulation 3
Author: Paul Louis George
Publisher: John Wiley & Sons
Published: 2020-11-06
Total Pages: 352
ISBN-13: 1119788056
DOWNLOAD EBOOK →Triangulations, and more precisely meshes, are at the heart of many problems relating to a wide variety of scientific disciplines, and in particular numerical simulations of all kinds of physical phenomena. In Volume 1, the theoretical foundations relating to triangulations, finite element shape functions and their interpretations as geometric patches were explored. This has made it possible to build tools that make the geometric modeling of any object possible. These elements are used in Volume 2 to treat meshing problems in their different implementations. Meshing, Geometric Modeling and Numerical Simulation 3 offers technical additions to the methods seen in the first two volumes and a significant portion of this book is dedicated to mesh visualization problems and solutions, especially those with a high degree of complexity.
Advanced Methods for Geometric Modeling and Numerical Simulation
Author: Carlotta Giannelli
Publisher: Springer Nature
Published: 2019-09-18
Total Pages: 238
ISBN-13: 3030273318
DOWNLOAD EBOOK →This book gathers selected contributions presented at the INdAM Workshop “DREAMS”, held in Rome, Italy on January 22−26, 2018. Addressing cutting-edge research topics and advances in computer aided geometric design and isogeometric analysis, it covers distinguishing curve/surface constructions and spline models, with a special focus on emerging adaptive spline constructions, fundamental spline theory and related algorithms, as well as various aspects of isogeometric methods, e.g. efficient quadrature rules and spectral analysis for isogeometric B-spline discretizations. Applications in finite element and boundary element methods are also discussed. Given its scope, the book will be of interest to both researchers and graduate students working in these areas.
Numerical Simulation, An Art of Prediction, Volume 2
Author: Jean-François Sigrist
Publisher: John Wiley & Sons
Published: 2020-01-08
Total Pages: 324
ISBN-13: 1119694752
DOWNLOAD EBOOK →Numerical simulation is a technique of major importance in various technical and scientific fields. Whilst engineering curricula now include training courses dedicated to it, numerical simulation is still not well-known in some economic sectors, and even less so among the general public. Simulation involves the mathematical modeling of the real world, coupled with the computing power offered by modern technology. Designed to perform virtual experiments, digital simulation can be considered as an "art of prediction". Embellished with a rich iconography and based on the testimony of researchers and engineers, this book shines a light on this little-known art. It is the second of two volumes and gives examples of the uses of numerical simulation in various scientific and technical fields: agriculture, industry, Earth and universe sciences, meteorology and climate studies, energy, biomechanics and human and social sciences.
Mesh Adaptation for Computational Fluid Dynamics, Volume 1
Author: Alain Dervieux
Publisher: John Wiley & Sons
Published: 2022-08-30
Total Pages: 260
ISBN-13: 1394163983
DOWNLOAD EBOOK →Simulation technology, and computational fluid dynamics (CFD) in particular, is essential in the search for solutions to the modern challenges faced by humanity. Revolutions in CFD over the last decade include the use of unstructured meshes, permitting the modeling of any 3D geometry. New frontiers point to mesh adaptation, allowing not only seamless meshing (for the engineer) but also simulation certification for safer products and risk prediction. Mesh Adaptation for Computational Dynamics 1 is the first of two volumes and introduces basic methods such as feature-based and multiscale adaptation for steady models. Also covered is the continuous Riemannian metrics formulation which models the optimally adapted mesh problem into a pure partial differential statement. A number of mesh adaptative methods are defined based on a particular feature of the simulation solution. This book will be useful to anybody interested in mesh adaptation pertaining to CFD, especially researchers, teachers and students.
Geometric Modelling, Numerical Simulation, and Optimization:
Author: Geir Hasle
Publisher: Springer Science & Business Media
Published: 2007-06-10
Total Pages: 559
ISBN-13: 3540687831
DOWNLOAD EBOOK →This edited volume addresses the importance of mathematics for industry and society by presenting highlights from contract research at the Department of Applied Mathematics at SINTEF, the largest independent research organization in Scandinavia. Examples range from computer-aided geometric design, via general purpose computing on graphics cards, to reservoir simulation for enhanced oil recovery. Contributions are written in a tutorial style.
Finite Element Method to Model Electromagnetic Systems in Low Frequency
Author: Francis Piriou
Publisher: John Wiley & Sons
Published: 2024-02-23
Total Pages: 243
ISBN-13: 1394276478
DOWNLOAD EBOOK →Numerical modeling now plays a central role in the design and study of electromagnetic systems. In the field of devices operating in low frequency, it is the finite element method that has come to the fore in recent decades. Today, it is widely used by engineers and researchers in industry, as well as in research centers. This book describes in detail all the steps required to discretize Maxwell’s equations using the finite element method. This involves progressing from the basic equations in the continuous domain to equations in the discrete domain that are solved by a computer. This approach is carried out with a constant focus on maintaining a link between physics, i.e. the properties of electromagnetic fields, and numerical analysis. Numerous academic examples, which are used throughout the various stages of model construction, help to clarify the developments.
